What is the Greatest Common Factor of 47255 and 47265?

Greatest common factor (GCF) of 47255 and 47265 is 5.

GCF(47255,47265) = 5

We will now calculate the prime factors of 47255 and 47265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47255 and 47265.

How to find the GCF of 47255 and 47265?

We will first find the prime factorization of 47255 and 47265. After we will calculate the factors of 47255 and 47265 and find the biggest common factor number .

Step-1: Prime Factorization of 47255

Prime factors of 47255 are 5, 13, 727. Prime factorization of 47255 in exponential form is:

47255 = 5¹ × 13¹ × 727¹

Step-2: Prime Factorization of 47265

Prime factors of 47265 are 3, 5, 23, 137. Prime factorization of 47265 in exponential form is:

47265 = 3¹ × 5¹ × 23¹ × 137¹

Step-3: Factors of 47255

List of positive integer factors of 47255 that divides 47255 without a remainder.

1, 5, 13, 65, 727, 3635, 9451

Step-4: Factors of 47265

List of positive integer factors of 47265 that divides 47255 without a remainder.

1, 3, 5, 15, 23, 69, 115, 137, 345, 411, 685, 2055, 3151, 9453, 15755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47255 and 47265. The biggest common factor number is the GCF number.
So the greatest common factor 47255 and 47265 is 5.

Also check out the Least Common Multiple of 47255 and 47265